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Finding the Third Proportional to 8,536,772 and 13,021,968

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Solution

The third proportional to 8,536,772 and 13,021,968 is: 19,863,673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536,772 : 13,021,968 = 13,021,968 : x
  2. Step 2: Convert to fraction form
    8,536,772/13,021,968 = 13,021,968/x
  3. Step 3: Cross multiply
    8,536,772x = 13,021,968 × 13,021,968
  4. Step 4: Simplify right side
    8,536,772x = 169,571,650,593,024
  5. Step 5: Solve for x
    x = 169,571,650,593,024/8,536,772
  6. Step 6: Final answer
    x = 19,863,673.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.